Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8053569 | Applied Mathematics Letters | 2018 | 7 Pages |
Abstract
We study, for the first time in the literature on the subject, the Cauchy problem for a semilinear fractional elliptic equation. Under an a priori assumption on the solution, we propose the Fourier truncation method for stabilizing the ill-posed problem. A stability estimate of logarithmic type is established.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Nguyen Huy Tuan, Tran Dong Xuan, Nguyen Anh Triet, Daniel Lesnic,